Home
Class 12
MATHS
The quadratic equation whose roots are l...

The quadratic equation whose roots are l and m, where `l = lim_(theta rarr 0) (3 sin theta-4 sin^(2)theta)/(theta) ` and `m = lim(theta rarr 0) (2 tan theta)/(theta (1-tan^(2)theta))` is

A

`x^(2)+5x+6 =0`

B

`x^(2)-5x+6 =0`

C

`x^(2)-5x-6 =0`

D

`x^(2)+5x-6 =0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos
  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

lim_(theta rarr 0)(sin 5 theta - sin 3 theta)/(theta)=

lim_(theta rarr 0)(tan theta - sin theta)/(theta^(3))=

lim_(theta rarr 0) ("cosec" theta - cot theta)/(theta) is :

lim_(theta rarr 0) (cos5 theta - cos 7 theta )/(theta^(2)) =

lim_(theta rarr 0) (sin 3 theta . sin 4 theta)/(theta . sin 5 theta) =

lim _( theta to 0) ( sin 5theta)/( tan 4theta)

lim_(theta rarr 0) (1-cos theta)/(theta sin theta) =

lim_(0 rarr pi/4) (sin theta. cos theta)/(theta-pi/4)=

lim_(theta rarr 0) (4 theta(tan theta-sin theta))/(1-cos 2 theta)^2 is

lim_(theta rarr 0) (1-cos theta)/(theta. costheta)=

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(x rarr oo) ((x+a)/(x+b))^(x+b) =

    Text Solution

    |

  2. If f(x) = {(2x+b, x lt alpha),(x+d, x gea):} is such that lim(x rarr a...

    Text Solution

    |

  3. The quadratic equation whose roots are l and m, where l = lim(theta ra...

    Text Solution

    |

  4. lim(x rarr 0) (4^(x)-9^(x))/(x*(4^(x)+9^(x)) ) =

    Text Solution

    |

  5. If lim(xtoa)(a^(x)-x^(a))/(x^(x)-a^(a))=-, then :

    Text Solution

    |

  6. lim(x rarr pi/6) ((3sinx - sqrt3 cos x)/(6x-pi)) =

    Text Solution

    |

  7. lim(n rarr oo) 1/n^(3) sum(k=1)^(n) k^(2)x =

    Text Solution

    |

  8. If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...

    Text Solution

    |

  9. If lim(x rarr 0) ((cos 4x + a cos 2x+b)/(x^(4))) is finite, then the v...

    Text Solution

    |

  10. lim(x rarr oo) {sqrt(x^(2) + 5x -7-x)} =

    Text Solution

    |

  11. lim(x rarr pi/6) (2sin^(2)x + sin x-1)/(2sin^(2)x-3sinx -1) =

    Text Solution

    |

  12. Let f(2)=4 and f'(2)=4. Then lim(xto2)(xf(2)-2f(x))/(x-2) is given b...

    Text Solution

    |

  13. The value of the constant alpha and beta such that lim(x rarr oo) ((x^...

    Text Solution

    |

  14. lim(theta rarr 0) (4 theta(tan theta-sin theta))/(1-cos 2 theta)^2 is

    Text Solution

    |

  15. For x in R, lim(x rarr oo) ((x-3)/(x+2))^(x) is equal to :

    Text Solution

    |

  16. lim(x rarr 0) (cos (sinx )-1)/x^(2) =

    Text Solution

    |

  17. lim(x rarr -2) (sin^(-1)(x+2))/(x^(2)+2x) =

    Text Solution

    |

  18. lim(n rarr oo) ((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1) ) =

    Text Solution

    |

  19. The value of lim(x rarr 0) (sqrt((1)/(2) (1-cos 2x)))/(x) is :

    Text Solution

    |

  20. The value of lim(x rarr 0) (int(0)^(x^(2))cos t^(2)dt)/(x sin x) is :

    Text Solution

    |